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Sep 20, 2015 at 23:25 history edited Francois Ziegler CC BY-SA 3.0
Speling; and while at it, link added.
Sep 20, 2015 at 23:10 vote accept nigel
Sep 19, 2015 at 22:25 comment added Francois Ziegler @nigelvr Alternatively, if you already know that the orbit (flag variety) is simply connected, then transitivity of the compact real form on it also follows from Montgomery's Theorem.
Sep 19, 2015 at 22:19 comment added Francois Ziegler @nigelvr See e.g. Theorem 5.8 on page 48 here.
Sep 19, 2015 at 21:41 comment added nigel Could you expand on the "open by dimension" bit? Thanks.
Sep 19, 2015 at 21:04 history answered Francois Ziegler CC BY-SA 3.0